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GRADE 1 }
MATHEMATICS
SUGGESTED
INSTRUCTIONAL
PLANNING GUIDE
for the Mississippi College- and Career-Readiness Standards
q Mathematics
Grade 1
The Mississippi State Board of Education, the Mississippi Department of Education, the Mississippi School for the Arts, the Mississippi School for the Blind, the Mississippi School for the Deaf, and the Mississippi School for Mathematics and Science do not discriminate on the basis of race, sex, color, religion, national origin, age, or disability in the provision of educational programs and services or employment opportunities and benefits. The following office has been designated to handle inquiries and complaints regarding the non‑discrimination policies of the above mentioned entities: Director, Office of Human Resources, Mississippi Department of Education, 359 North West Street, P.O. Box 771, Jackson, MS 39205‑0771, (601)359-3513.
Mississippi Department of Education 359 North West Street
P. O. Box 771
Jackson, Mississippi 39205-0771
(601) 359-3513
www.mdek12.org
MISSISSIPPI DEPARTMENT OF EDUCATION
Carey M. Wright, Ed.D.
State Superintendent of Education
Nathan Oakley, Ph.D.
Chief Academic Officer
Wendy Clemons Executive Director, Office of Secondary Education/Dropout Prevention & Professional Development
Tenette Smith, Ed.D. Executive Director, Office of Elementary Education and Reading
Marla Davis, Ph.D.State Director of Curriculum and Instruction
Elise Brown Director of Online Professional Development
Mathematics Professional Development Coordinator (6-12)
Tommisha JohnsonK-12 Mathematics Content Director
Amy Pinkerton
Mathematics Professional Development Coordinator (K-5)
Special Acknowledgements
Bailey Education Group
The Kirkland Group
INTRODUCTION
The unprecedented, nationwide school closures in the spring of 2020 due to the COVID-19 pandemic have created a shift in how districts plan for school re-entry. Instead of the traditional brick-and-mortar planning, administrators are now identifying models that will support a variety of instructional delivery scenarios as they plan for school reopening. The traditional methods of planning and delivery are nearly impossible to implement as a stand-alone model; instead, innovative educators are developing and identifying strategies and resources to support a variety of distance learning scenarios as part of their plans. When using new models of delivery, it is important to recognize that the traditional approach to remediation—providing work better suited for earlier grades—may be insufficient. Instead, the conventional approach to remediation will likely compound the problem educators are trying to correct. According to a 2018 study, The Opportunity Myth[footnoteRef:2], the approach of “meeting students where they are”, while often well-intended, only widens the achievement gap. Instead of remediation, teachers and administrators are encouraged to look toward acceleration methods to support student growth and close the gaps. [2: https://tntp.org/assets/documents/TNTP_The-Opportunity-Myth_Web.pdf]
PURPOSE
The purpose of the Suggested Mississippi College- and Career-Readiness Standards Instructional Planning Guides is to provide a SUGGESTED guide to assist teachers in planning rigorous, coherent lessons that focus on the critical content of each grade level. Providing curriculum guidance through intentional standard grouping and consideration for the time needed to address different objectives, should encourage consistent instruction that fully aligns to the Mississippi College- and Career-Readiness Standards. The use of this guide can also foster collaborative planning across schools and districts throughout the state.
DEVELOPMENT
The following planning and subsequent grouping of standards were determined through a collaborative process among state-level content specialists. By connecting standards through common conceptual understandings and relationships, the expectation is that conceptual connections will promote a cohesive process and avoid the teaching of standards in isolation. Additionally, it promotes a deeper understanding and a more authentic acquisition of mathematical knowledge and skills. The Standards for Mathematical Practices (SMPs) presented are those suggested to be highlighted within the respective standard; however, this does not exclude the inclusion of other SMPs. The standards determined as “priority” have been bolded and are standards identified as critical to the mastery of other standards. A standard’s “priority” status does NOT have a direct correlation with test item frequency. Additionally, some standards may appear multiple times throughout the course with a portion of the standard highlighted to depict that only that portion of the standard is to be taught within that unit.
RESOURCES FOR CONSIDERATION
The resources listed below may be referenced to support classroom teachers in the development of lesson plans and instruction at the local level. This list is not meant to be exhaustive, rather it represents consultative resources that align with the Units/Themes provided in the Instructional Planning Guides. Educators are encouraged to use these resources in addition to those curriculum materials that meet the needs of the students they serve.
High-Quality Instructional Materials (HQIM)
Instruction and Planning Resources
Standards for Mathematical Practices (SMPs)
Assessment
Resources
Professional Development
· MS HQIM Defined
· MS Adopted HQIM (Textbooks)
· enVision Mathematics 2020 Correlation to the MS CCRS K-5
· MHE My Math Learning Solution
· Great Minds (Eureka Math) Teacher Resource Pack
· Great Minds Alignment to MSCCRS
· Achieve the Core Coherence Map-1st Grade Math
· Standards Dependency and Flow View
· Scaffolding Instruction for ELLs
· Achieve the Core CCR Shifts in Mathematics
· Standards Progressions for Mathematics Progression Documents
· SFUSD Manipulatives List
· Printable Manipulatives
· SFUSD Manipulatives List
· Printable Manipulatives
· Achieve the Core Instructional Practice Guide K-8
· Mississippi Exemplar Units and Lesson Plans-Grade 1 Math
· Mississippi CCRS Exemplar Lesson Plans
· HCPSS Family Mathematics Support Center Grade 1
· MS CCRS Scaffolding Documents
· Access for All Guidance
· MDE Family Guides for Student Success*
(Alternative Language: Spanish)
*This resource can be used for standards reinforcement of previous grades.
· Illustrative Mathematics Understanding the Standards for Mathematical Practices (SMPs)
· Inside Mathematics Mathematical Practice Standards
· Inside Mathematics Mentors of Mathematical Practice
· Inside Mathematics Resources by Standard Grade 1
· Illustrative Mathematics Grade 1 Tasks
· Goalbook Pathways Grade 1
· MDE Professional Development Resources
· MARS Prototype Professional Development Modules
· NCTM Professional Development Resources
· Inside Mathematics Classroom Videos
· NCTM Math Forum
· Great Minds (Eureka) Webinars
· Using Manipulatives in the Classroom
Applets, Demos, Interactives, and Virtual Manipulatives
· CPM Tiles
· Didax Virtual Manipulatives
· Didax Free Activity Guides for Virtual Manipulatives
· GeoGebra Virtual Manipulatives
· Houghton Mifflin and Harcourt iTools
· Math Playground Math Manipulatives
· McGraw Hill (Glencoe) Virtual Manipulatives
· The Math Learning Center Math Apps
· Toy Theatre Virtual Manipulatives
· Visnos Mathematical Demonstrations
TERM 1UNIT OF STUDY(REAL-WORLD APPLICATION)qMS CCR STANDARDSqSTANDARDS FOR MATHEMATICAL PRACTICE (SMPs)qCORE ACADEMIC VOCABULARY TERMSq
Unit 1: Counting to 120 Using Multiple Strategies(Expanding on the Kindergarten skill of counting to 100, allows students to understand numbers to represent a value and the sequence as it increases from 0-120. Understanding 0-120 will build the concept for understanding the repeat of number sequence in each place value.)1.NBT.1 Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral.
· SMP 2 Reason abstractly and quantitatively.
· SMP 7 Look for and make use of structure.
· SMP 8 Look for and express regularity in repeated reasoning.
Count
Hundreds
Ones
Order
Sequence
Sequential Order
Tens
Value
Zero -One Hundred Twenty
1.OA.5 Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).
· SMP 7 Look for and make use of structure.
· SMP 8 Look for and express regularity in repeated reasoning.
Skip Counting
Unit 2: Using Place Value to Add and Subtract
(Expanding on knowledge from Kindergarten with ones and tens, students use multiple strategies to understand the concepts of 10s, by relating it ones, students begin to add and subtract 10s as they would ones. This lays the foundation for later adding within 100.)
1.NBT.2 Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases: 1.NBT.2a. 10 can be thought of as a bundle of ten ones — called a “ten.” 1.NBT.2b. The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones. 1.NBT.2c. The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).
· SMP 2 Reason abstractly and quantitatively.
· SMP 7 Look for and make use of structure.
· SMP 8 Look for and express regularity in repeated reasoning.
Ones
Place Value
Tens
1.NBT.5 Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used.
· SMP 2 Reason abstractly and quantitatively.
· SMP 3 Construct viable arguments and critique the reasoning of others.
· SMP 7 Look for and make use of structure.
· SMP 8 Look for and express regularity in repeated reasoning.
Less
More
Ones
Place Value
Tens
1.NBT.6 Subtract multiples of 10 in the range 10–90 from multiples of 10 in the range 10–90 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
· SMP 2 Reason abstractly and quantitatively.
· SMP 3 Construct viable arguments and critique the reasoning of others.
· SMP 4 Model with Mathematics.
· SMP 5 Use appropriate tools strategically.
· SMP 7 Look for and make use of structure.
· SMP 8 Look for and express regularity in repeated reasoning.
Less
More
Ones
Place Value
Tens
Unit 3: Comparing 2-Digit Numbers Based on Place Value
(Students build on knowledge of sequence and place value to determine which two-digit number has the greater value. Prepares students with a method for comparing larger quantities in later grades.)
1.NBT.3 Compare two two-digit numbers based on meanings of the tens and ones’ digits, recording the results of comparisons with the symbols >, =, and <.
· SMP 2 Reason abstractly and quantitatively.
· SMP 6 Attend to precision.
· SMP 7 Look for and make use of structure.
· SMP 8 Look for and express regularity in repeated reasoning.
Compare
Equal To (=)
Greater Than (>),
Less Than (<)
Ones
Tens
Unit 4: Equal Sign and the Number Properties
(Students begin to learn number properties also referred to as mental math strategies. Using these properties students can determine if expressions are equal and begin to understand the use of the equal sign. This lays the groundwork for later work with expressions and equations.)
1.OA.7 Understand the meaning of the equal sign and determine if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false? 6 = 6, 7 = 8 – 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.
· SMP 2 Reason abstractly and quantitatively.
· SMP 3 Construct viable arguments and critique the reasoning of others.
· SMP 6 Attend to precision.
· SMP 7 Look for and make use of structure.
Equal
Equal Sign
Equation
False
Number Property
Number Sentence
True
1.OA.3 Apply properties of operations as strategies to add and subtract.3 Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.) **
· SMP 2 Reason abstractly and quantitatively.
· SMP 7 Look for and make use of structure.
· SMP 8 Look for and express regularity in repeated reasoning.
Addend
Addition
Difference
Minuend
Minus
Minus Sign
Plus
Plus Sign
Subtrahend
Sum
1.OA.4 Understand subtraction as an unknown-addend problem. For example, subtract 10 – 8 by finding the number that makes 10 when added to 8.
· SMP 2 Reason abstractly and quantitatively.
· SMP 7 Look for and make use of structure.
· SMP 8 Look for and express regularity in repeated reasoning.
Addend
Addition
Difference
Minuend
Minus
Minus Sign
Plus
Plus Sign
Subtrahend
Sum
Unknown
1.OA.8 Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 +? = 11, 5 = – 3, 6 + 6 = .
· SMP 2 Reason abstractly and quantitatively.
· SMP 6 Attend to precision.
· SMP 7 Look for and make use of structure.
Addend
Addition
Difference
Equation
Minuend
Minus
Minus Sign
Plus
Plus Sign
Subtrahend
Sum
Unknown
TERM 2UNIT OF STUDY(REAL-WORLD APPLICATION)qMS CCR STANDARDSqSTANDARDS FOR MATHEMATICAL PRACTICE (SMPs)qCORE ACADEMIC VOCABULARY TERMSq
Unit 5: Adding and Subtracting Within 20
(After working with place value and number properties students are ready to expand knowledge from adding and subtracting within 10 to adding and subtracting within 20.)
1.OA.6 Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).
· SMP 2 Reason abstractly and quantitatively.
· SMP 7 Look for and make use of structure.
· SMP 8 Look for and express regularity in repeated reasoning.
Addend
Addition
Difference
Minuend
Minus
Minus Sign
Plus
Plus Sign
Subtrahend
Sum
Unit 6: Solving Word Problem with Addition and Subtraction Within 20
(After working with the computation of adding and subtracting within 20, students are ready to expand knowledge by applying knowledge to real-world situations. This lays the foundation for students to be able to apply mathematical computations to a real-world problem or situation.)
1.OA.1 Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. *
· SMP 1 Make sense of problems and persevere in solving them.
· SMP 2 Reason abstractly and quantitatively.
· SMP 3 Construct viable arguments and critique the reasoning of others.
· SMP 4 Model with Mathematics.
· SMP 5 Use appropriate tools strategically.
· SMP 8 Look for and express regularity in repeated reasoning.
Add
Altogether
Both
Combined
Decrease
Difference
Fewer
Fewer Than
How Many More
How Much More
In All
Increase
Minus
Plus
Remains
Sum
Take Away
Together
Total
1.OA.2 Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.
· SMP 1 Make sense of problems and persevere in solving them.
· SMP 2 Reason abstractly and quantitatively.
· SMP 3 Construct viable arguments and critique the reasoning of others.
· SMP 4 Model with Mathematics.
· SMP 5 Use appropriate tools strategically.
· SMP 8 Look for and express regularity in repeated reasoning.
Add
Altogether
Both
Combined
Decrease
Difference
Fewer
Fewer Than
How Many More
How Much More
In All
Increase
Minus
Plus
Remains
Sum
Take Away
Together
Total
Unit 7: Distinguishing Shapes Based on Attributes
(Students compose and decompose plane (2-D) or solid (3-D) figures (e.g., put two triangles together to make a quadrilateral) and build understanding of part-whole relationships as well as the properties of the original and composite shapes. By learning these properties or attributes students gain a foundation for symmetry and congruency.)
1.G.1 Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes.
· SMP 1 Make sense of problems and persevere in solving them.
· SMP 3 Construct viable arguments and critique the reasoning of others.
· SMP 4 Model with Mathematics.
· SMP 7 Look for and make use of structure.
Attribute
Circle
Closed
Hexagon
Open
Rectangle
Shape
Side
Sphere
Square
Trapezoid
Triangle
1.G.2 Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape. ***
· SMP 1 Make sense of problems and persevere in solving them.
· SMP 4 Model with Mathematics.
· SMP 7 Look for and make use of structure.
Circle
Composite Shape
Cube
Half-Circle
Quarter Circle
Rectangle
Right Circular Cones
Right Circular Cylinders
Right Rectangular Prism
Square
Trapezoid
Triangle
Unit 8: Measurement with Non-Standard Units
(Students develop an understanding of the meaning and processes of measurement, lays the foundation for measuring with standard units in later grades.)
1.MD.1 Order three objects by length; compare the lengths of two objects indirectly by using a third object.
· SMP 6 Attend to precision.
· SMP 7 Look for and make use of structure.
Compare
Length
Long
Longer
Longest
Order
Short
Shorter
Shortest
1.MD.2 Express the length of an object as a whole number of length units, by laying multiple copies of a shorter object (the length unit) end to end; understand that the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps. Limit to contexts where the object being measured is spanned by a whole number of length units with no gaps or overlaps.
· SMP 5 Use appropriate tools strategically.
· SMP 6 Attend to precision.
· SMP 7 Look for and make use of structure.
Length
Measure
Non-Standard Unit
Unit
1.MD.4 Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another.
· SMP 2 Reason abstractly and quantitatively.
· SMP 3 Construct viable arguments and critique the reasoning of others.
· SMP 4 Model with Mathematics.
· SMP 5 Use appropriate tools strategically.
· SMP 6 Attend to precision.
Category
Data
How Many
How Many Less
How Many More
Interpret
Organize
TERM 3UNIT OF STUDY(REAL-WORLD APPLICATION)qMS CCR STANDARDSqSTANDARDS FOR MATHEMATICAL PRACTICE (SMPs)qCORE ACADEMIC VOCABULARY TERMSq
Unit 9: Partitioning Shapes
(Foundational skill for working with Fractions, using a familiar concept such as shapes, students learn to create equal parts within a whole.)
1.G.3 Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.
· SMP 2 Reason abstractly and quantitatively.
· SMP 3 Construct viable arguments and critique the reasoning of others.
· SMP 6 Attend to precision.
· SMP 7 Look for and make use of structure.
Circle
Equal Part
Fourths
Half
Halves
Part
Partition
Quarter
Rectangle
Share
Unit 10: Partitioning of a Month: Weeks in a Month; Days in a Week; Hours in a Day
(Keeping in line with the concept of partitioning, students learn the parts of month. This skill is foundational for the concept of time in relation to the Calendar.)
1.MD.3 Tell and write time with respect to a calendar.1.MD.3b Identify the days of the week, the number of days in a week, and the number of weeks in each month.
· SMP 5 Use appropriate tools strategically.
· SMP 6 Attend to precision.
· SMP 7 Look for and make use of structure.
April
August
Calendar
Day
December
February
Friday
Hour
January
July
June
May
March
Monday
Month
November
October
Saturday
September
Sunday
Tuesday
Thursday
Wednesday
Week
Unit 11: Partitioning of a Day by Telling Time
(Keeping in line with the concept of partitioning, students learn the parts of a day and more specifically and hour. This skill is foundational for the concept of time in relation to the Clock.)
1.MD.3 Tell and write time with respect to a clock.1.MD.3aTell and write time in hours and half-hours using analog and digital clocks.
· SMP 5 Use appropriate tools strategically.
· SMP 6 Attend to precision.
· SMP 7 Look for and make use of structure.
About
Clock
Half-Hour
Hour
Hour Hand
‘O Clock
Minute
Minute Hand
Time
TERM 4UNIT OF STUDY(REAL-WORLD APPLICATION)qMS CCR STANDARDSqSTANDARDS FOR MATHEMATICAL PRACTICE (SMPs)qCORE ACADEMIC VOCABULARY TERMSq
Unit 12: Addition to 100
(Foundation for Adding where students learn that combining two whole numbers will result in a whole number with a larger value. This skill will later evolve into the foundation for skip counting and multiplication.)
1.NBT.4 Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten.
· SMP 2 Reason abstractly and quantitatively.
· SMP 3 Construct viable arguments and critique the reasoning of others.
· SMP 4 Model with Mathematics.
· SMP 5 Use appropriate tools strategically.
· SMP 6 Attend to precision.
Addend
Addition
Plus
Plus Sign
Regroup
Sum
Unit 13: Partitioning the Dollar
(Foundational skill introducing the concept of money, starting with the Dollar and the coins that make up a dollar. This builds on the concept of adding to 100. It lays the foundation for working with money, decimals, fractional parts, and equal parts.)
1.MD.5 Working with Money
1.MD.5a Identify the value of all U.S. coins (penny, nickel, dime, quarter, half-dollar, and dollar coins). Use appropriate cent and dollar notation (e.g., 25¢, $1).
1.MD.5b Know the comparative values of all U.S. coins (e.g., a dime is of greater value than a nickel).
1.MD.5c Count like U.S. coins up to the equivalent of a dollar.
1.MD.5d Find the equivalent value for all greater value U.S. coins using like value smaller coins (e.g., 5 pennies equal 1 nickel; 10 pennies equal dime, but not 1 nickel and 5 pennies equal 1 dime).
· SMP 1 Make sense of problems and persevere in solving them.
· SMP 2 Reason abstractly and quantitatively.
· SMP 4 Model with Mathematics.
· SMP 5 Use appropriate tools strategically.
· SMP 6 Attend to precision.
· SMP 7 Look for and make use of structure.
Cent
Coin
Dime
Dollar
Half-Dollar
Money
Nickel
Penny
Quarter
* See Glossary, Table 1
** Students need not use formal terms for these properties.
*** Students do not need to learn formal names such as “right rectangular prism.”
January 2021-FINAL
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January 2021-FINAL }